Witsenhausen's Counter Example Holds in the Presence of Side Information

Abstract

In this paper, we consider a two-step decentralized control problem with two agents which are not co-located. The first agent is located at the source of a disturbance, it can measure the disturbance with high accuracy and it can perform local actuation, while communicating with the second agent via a Gaussian channel with a prescribed signal to noise ratio… (More)